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Finding the Third Proportional to 35,264 and 73,444

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Solution

The third proportional to 35,264 and 73,444 is: 152,961.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,264 : 73,444 = 73,444 : x
  2. Step 2: Convert to fraction form
    35,264/73,444 = 73,444/x
  3. Step 3: Cross multiply
    35,264x = 73,444 × 73,444
  4. Step 4: Simplify right side
    35,264x = 5,394,021,136
  5. Step 5: Solve for x
    x = 5,394,021,136/35,264
  6. Step 6: Final answer
    x = 152,961.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.